Pith Number

pith:XFHERLGR

pith:2026:XFHERLGRLD2KPEHVERQAGE4C6F

not attested not anchored not stored refs pending

Weak and Strong Fibrations of Functors

David Mosquera-Lois, Enrique Mac\'ias-Virg\'os, Isaac Carcac\'ia-Campos

arxiv:2605.18650 v1 · 2026-05-18 · math.CT · math.AT · 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{XFHERLGRLD2KPEHVERQAGE4C6F}

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	2026-05-20T00:06:12.812000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b94e48acd158f4a790f52460031382f14acdf7253d7e7b4dcbce07e9442753a1

Aliases

arxiv: 2605.18650 · arxiv_version: 2605.18650v1 · doi: 10.48550/arxiv.2605.18650 · pith_short_12: XFHERLGRLD2K · pith_short_16: XFHERLGRLD2KPEHV · pith_short_8: XFHERLGR

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/XFHERLGRLD2KPEHVERQAGE4C6F \
  | 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: b94e48acd158f4a790f52460031382f14acdf7253d7e7b4dcbce07e9442753a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e01468fbd22061c9f2b48c0a59c5d7f674b37c8416b4a55ac0cedd50e21e02",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-05-18T16:56:32Z",
    "title_canon_sha256": "abf71d4417f3e421e74ee962b4f8dfc0da35a9190cd4e4800a424fbd88bacad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18650",
    "kind": "arxiv",
    "version": 1
  }
}