Pith Number

pith:RJYSG4LU

pith:2013:RJYSG4LU6NDNUDPFDVICZTJZRR

not attested not anchored not stored refs pending

Fibrations as Eilenberg-Moore algebras

Anders Kock

arxiv:1312.1608 v1 · 2013-12-05 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJYSG4LU6NDNUDPFDVICZTJZRR}

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	2026-05-18T03:05:26.739370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a71237174f346da0de51d502ccd398c67342148c2c1098941146851cdcdd9e1

Aliases

arxiv: 1312.1608 · arxiv_version: 1312.1608v1 · doi: 10.48550/arxiv.1312.1608 · pith_short_12: RJYSG4LU6NDN · pith_short_16: RJYSG4LU6NDNUDPF · pith_short_8: RJYSG4LU

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/RJYSG4LU6NDNUDPFDVICZTJZRR \
  | 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: 8a71237174f346da0de51d502ccd398c67342148c2c1098941146851cdcdd9e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96664bb72236c26c43b3ac6076d54caa550dd66e0fbf3d561a18dcf9a73c6f40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-12-05T16:26:35Z",
    "title_canon_sha256": "6aef29a6e4adc7cbebdcd10c4fa0aec6cb5734cb3aaa7690bce017b241704ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1608",
    "kind": "arxiv",
    "version": 1
  }
}