Pith Number

pith:HBVLNZ3J

pith:2025:HBVLNZ3J67HCYEYFEN5JVLW2SQ

not attested not anchored not stored refs pending

Approximate Fibrations in Higher Topos Theory

Christian Kremer, Marco Volpe

arxiv:2510.24629 v1 · 2025-10-28 · math.GT · math.AT · 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{HBVLNZ3J67HCYEYFEN5JVLW2SQ}

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.

Cited by

1 paper in Pith

Homology manifolds via six functor formalisms

Receipt and verification

First computed	2026-07-10T01:19:40.264965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

386ab6e769f7ce2c1305237a9aaeda943cc369d34fd6bc6986621906648826f3

Aliases

arxiv: 2510.24629 · arxiv_version: 2510.24629v1 · doi: 10.48550/arxiv.2510.24629 · pith_short_12: HBVLNZ3J67HC · pith_short_16: HBVLNZ3J67HCYEYF · pith_short_8: HBVLNZ3J

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/HBVLNZ3J67HCYEYFEN5JVLW2SQ \
  | 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: 386ab6e769f7ce2c1305237a9aaeda943cc369d34fd6bc6986621906648826f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d033168f018c4b1857689f0bbc1558d74ad1eaa8108daa0d9941a578cdead349",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-10-28T16:58:46Z",
    "title_canon_sha256": "95e7de4d4de989895f481e5726db567052cf184bab0e8c0504b9c33c51977568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.24629",
    "kind": "arxiv",
    "version": 1
  }
}