Pith Number

pith:SNAIVFFQ

pith:2015:SNAIVFFQ7RCPXAL2WDGC25NHFA

not attested not anchored not stored refs pending

The Whitney extension theorem in high dimensions

Alan Chang

arxiv:1508.01779 v1 · 2015-08-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNAIVFFQ7RCPXAL2WDGC25NHFA}

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	2026-05-18T01:35:38.731333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93408a94b0fc44fb817ab0cc2d75a7281cb4273cbba81332bb66b90e9e194ddf

Aliases

arxiv: 1508.01779 · arxiv_version: 1508.01779v1 · doi: 10.48550/arxiv.1508.01779 · pith_short_12: SNAIVFFQ7RCP · pith_short_16: SNAIVFFQ7RCPXAL2 · pith_short_8: SNAIVFFQ

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/SNAIVFFQ7RCPXAL2WDGC25NHFA \
  | 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: 93408a94b0fc44fb817ab0cc2d75a7281cb4273cbba81332bb66b90e9e194ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac898d45fa2fb3e8a72e744bae16988c571d30810d3bc5e25aee0b40b1f769a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-07T18:40:20Z",
    "title_canon_sha256": "f6eec3185d75d12317d0a07f050282c28d0b535e3fb70bdd35ad0255bcb49c9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01779",
    "kind": "arxiv",
    "version": 1
  }
}