Pith Number

pith:MPRCYCY5

pith:2015:MPRCYCY5J3N2Y3VGDNCSJZSRLX

not attested not anchored not stored refs pending

Categorified Young symmetrizers and stable homology of torus links II

Matthew Hogancamp, Michael Abel

arxiv:1510.05330 v2 · 2015-10-19 · 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{MPRCYCY5J3N2Y3VGDNCSJZSRLX}

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	2026-05-18T01:21:30.491363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e22c0b1d4edbac6ea61b4524e6515dcf5828a86881437eaf6861ff00dc7767

Aliases

arxiv: 1510.05330 · arxiv_version: 1510.05330v2 · doi: 10.48550/arxiv.1510.05330 · pith_short_12: MPRCYCY5J3N2 · pith_short_16: MPRCYCY5J3N2Y3VG · pith_short_8: MPRCYCY5

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/MPRCYCY5J3N2Y3VGDNCSJZSRLX \
  | 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: 63e22c0b1d4edbac6ea61b4524e6515dcf5828a86881437eaf6861ff00dc7767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e280d387937c5a4e8cd2064ce3f065ea3c0a8b7f306bef568f4cf56c9c80523",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-10-19T01:30:29Z",
    "title_canon_sha256": "488171088431ead3ec0ed7f92fd44bec8042ec3fb6dc3a7720ebdb124273fec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05330",
    "kind": "arxiv",
    "version": 2
  }
}