Pith Number

pith:5H5GJ3EJ

pith:2015:5H5GJ3EJGACUCZGTSVM4MD5RKY

not attested not anchored not stored refs pending

Tait colorings, and an instanton homology for webs and foams

P. B. Kronheimer, T. S. Mrowka

arxiv:1508.07205 v1 · 2015-08-28 · math.GT · 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{5H5GJ3EJGACUCZGTSVM4MD5RKY}

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	2026-05-18T01:34:36.611010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9fa64ec8930054164d39559c60fb1562ea0b500063879fbd351cfe9c141ce5f

Aliases

arxiv: 1508.07205 · arxiv_version: 1508.07205v1 · doi: 10.48550/arxiv.1508.07205 · pith_short_12: 5H5GJ3EJGACU · pith_short_16: 5H5GJ3EJGACUCZGT · pith_short_8: 5H5GJ3EJ

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/5H5GJ3EJGACUCZGTSVM4MD5RKY \
  | 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: e9fa64ec8930054164d39559c60fb1562ea0b500063879fbd351cfe9c141ce5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513d08faa619adb9b0a3a180367878321b8ef53c1de9ce41448800ab37e41aa7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-28T13:34:42Z",
    "title_canon_sha256": "67303c6ba7432e3399f0c66d0412b0148f649c28ad86d03532c701113a344874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07205",
    "kind": "arxiv",
    "version": 1
  }
}