Pith Number

pith:I5I7VTR3

pith:2015:I5I7VTR3BNKWXYXFQ7RP5RXUAT

not attested not anchored not stored refs pending

Categorified Young symmetrizers and stable homology of torus links

Matthew Hogancamp

arxiv:1505.08148 v2 · 2015-05-29 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5I7VTR3BNKWXYXFQ7RP5RXUAT}

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	2026-05-18T00:13:33.006249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4751face3b0b556be2e587e2fec6f404dc3ca39505a0e53c5ec24f161b7efc06

Aliases

arxiv: 1505.08148 · arxiv_version: 1505.08148v2 · doi: 10.48550/arxiv.1505.08148 · pith_short_12: I5I7VTR3BNKW · pith_short_16: I5I7VTR3BNKWXYXF · pith_short_8: I5I7VTR3

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/I5I7VTR3BNKWXYXFQ7RP5RXUAT \
  | 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: 4751face3b0b556be2e587e2fec6f404dc3ca39505a0e53c5ec24f161b7efc06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de3ccb25756d088bd324234ac1b2dcc6835adb804245e4a0c446d6c6ace0b464",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-05-29T19:06:06Z",
    "title_canon_sha256": "cc01325d09fa5df53020fee2dbf0c7eff60b724b55e4f3c0e73040acaaef1d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.08148",
    "kind": "arxiv",
    "version": 2
  }
}