Pith Number

pith:GOBQQC2N

pith:2017:GOBQQC2NCPXJKVKCUWJKXNLRWQ

not attested not anchored not stored refs pending

Kirszbraun-type Theorems For Graphs

Igor Pak, Martin Tassy, Nishant Chandgotia

arxiv:1710.11007 v3 · 2017-10-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOBQQC2NCPXJKVKCUWJKXNLRWQ}

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	2026-05-18T00:03:56.755269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3383080b4d13ee955542a592abb571b4131f8abd81bbc18d954b775eb76f488b

Aliases

arxiv: 1710.11007 · arxiv_version: 1710.11007v3 · doi: 10.48550/arxiv.1710.11007 · pith_short_12: GOBQQC2NCPXJ · pith_short_16: GOBQQC2NCPXJKVKC · pith_short_8: GOBQQC2N

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/GOBQQC2NCPXJKVKCUWJKXNLRWQ \
  | 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: 3383080b4d13ee955542a592abb571b4131f8abd81bbc18d954b775eb76f488b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7b6d849577c904748b6b9eed9e0ddfb32a7c6b5a2e2fa2c931e4aec24414e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-30T15:20:19Z",
    "title_canon_sha256": "613959691b3aef9e5fe6a78d579703735af5bd70c892e80f89fe60562358c18f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11007",
    "kind": "arxiv",
    "version": 3
  }
}