Pith Number

pith:KLPCBTFK

pith:2026:KLPCBTFKNU4DVHBBGLFLXJ75NV

not attested not anchored not stored refs pending

GIFT: Geometry-Informed Low-precision Gradient Communication for LLM Pretraining

Jieying Wang, Mingkai Zheng, Shuyuan Fan, Zhao Zhang

arxiv:2607.07494 v1 · 2026-07-08 · cs.DC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLPCBTFKNU4DVHBBGLFLXJ75NV}

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	2026-07-09T01:20:27.152734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52de20ccaa6d383a9c2132cabba7fd6d6d01c1ee58443c6a484d82b2a1dac359

Aliases

arxiv: 2607.07494 · arxiv_version: 2607.07494v1 · doi: 10.48550/arxiv.2607.07494 · pith_short_12: KLPCBTFKNU4D · pith_short_16: KLPCBTFKNU4DVHBB · pith_short_8: KLPCBTFK

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/KLPCBTFKNU4DVHBBGLFLXJ75NV \
  | 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: 52de20ccaa6d383a9c2132cabba7fd6d6d01c1ee58443c6a484d82b2a1dac359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703ed529f970c438d3a2994ed275d107972a31f0c7f6ef6517956f8d77390512",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2026-07-08T14:55:51Z",
    "title_canon_sha256": "c0eea2155569f925a66b4632b0f920626c61df2ce146175d06ab8bc2efbc523c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07494",
    "kind": "arxiv",
    "version": 1
  }
}