Pith Number

pith:SFPR2ABL

pith:2016:SFPR2ABL5QLIHHXZNQEXQGVOIJ

not attested not anchored not stored refs pending

Tangle Functors from Semicyclic Representations

Charles Frohman, Nathan Druivenga, Sanjay Kumar

arxiv:1607.02070 v1 · 2016-07-07 · 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{SFPR2ABL5QLIHHXZNQEXQGVOIJ}

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	2026-05-18T01:11:22.237174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

915f1d002bec16839ef96c09781aae42541e3ddbe6ecdfba58b3a89a8f5540a5

Aliases

arxiv: 1607.02070 · arxiv_version: 1607.02070v1 · doi: 10.48550/arxiv.1607.02070 · pith_short_12: SFPR2ABL5QLI · pith_short_16: SFPR2ABL5QLIHHXZ · pith_short_8: SFPR2ABL

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/SFPR2ABL5QLIHHXZNQEXQGVOIJ \
  | 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: 915f1d002bec16839ef96c09781aae42541e3ddbe6ecdfba58b3a89a8f5540a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30f4132d39048e74c4f94664c73270bc7a3e0aec093807357a4543fc1a5b12c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-07T16:22:04Z",
    "title_canon_sha256": "b794edbdba81deaa4aefde26e5df00d629a60912783dacd7e46aa047a8160702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02070",
    "kind": "arxiv",
    "version": 1
  }
}