Pith Number

pith:TA3TBAMS

pith:2024:TA3TBAMSGHD4RZEU2645DYITNC

not attested not anchored not stored refs pending

Dynamical Behaviors of the Gradient Flows for In-Context Learning

Songtao Lu, Tomasz Nowicki, Yingdong Lu

arxiv:2412.16683 v1 · 2024-12-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TA3TBAMSGHD4RZEU2645DYITNC}

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	2026-07-05T09:53:11.466964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

983730819231c7c8e494d7b9d1e11368be8fbd58b3938f618a3165d37287e06f

Aliases

arxiv: 2412.16683 · arxiv_version: 2412.16683v1 · doi: 10.48550/arxiv.2412.16683 · pith_short_12: TA3TBAMSGHD4 · pith_short_16: TA3TBAMSGHD4RZEU · pith_short_8: TA3TBAMS

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/TA3TBAMSGHD4RZEU2645DYITNC \
  | 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: 983730819231c7c8e494d7b9d1e11368be8fbd58b3938f618a3165d37287e06f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e39f0cbdeaa5644b38deab7a7b2941c1f0e1a51ac34373ac584feca2ec2a368",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-21T16:18:59Z",
    "title_canon_sha256": "1246eed9c7b3b031245850064bb44d0fb61440a7213236188829b094eec472a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16683",
    "kind": "arxiv",
    "version": 1
  }
}