Pith Number

pith:W57O62RG

pith:2026:W57O62RG3ETKLQZN3RFMEXTMJX

not attested not anchored not stored refs pending

Towards Physics of Multimodal Pretraining: Knowledge Flow, Modality Synergy, Early Unification, and Recipes

David Fan, Filippos Kokkinos, Junlin Han, Mike Lewis, Minghao Chen, Philip Torr, Shengbang Tong

arxiv:2608.05000 v1 · 2026-08-05 · cs.CV · cs.LG · cs.MM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W57O62RG3ETKLQZN3RFMEXTMJX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-08-06T01:48:01.702767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b77eef6a26d926a5c32ddc4ac25e6c4de4c1b7d551c8cd5e9197ee179e4dc460

Aliases

arxiv: 2608.05000 · arxiv_version: 2608.05000v1 · doi: 10.48550/arxiv.2608.05000 · pith_short_12: W57O62RG3ETK · pith_short_16: W57O62RG3ETKLQZN · pith_short_8: W57O62RG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/W57O62RG3ETKLQZN3RFMEXTMJX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b77eef6a26d926a5c32ddc4ac25e6c4de4c1b7d551c8cd5e9197ee179e4dc460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177fee1269536ccc240d5cc64a2374aa54731cef1645ac7bcc5d74c4a5c31232",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-08-05T16:09:25Z",
    "title_canon_sha256": "1a8291b49ebfe6b01a3010ae9d170b957421ee6d0b017c7ed8fdbd2db502dcf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05000",
    "kind": "arxiv",
    "version": 1
  }
}