Pith Number

pith:NLGLFM77

pith:2010:NLGLFM77VKZ5VILXLWUZE7JU2X

not attested not anchored not stored refs pending

The fiber homotopically equivalent relation for fiber bundles

Adem Kilicman, Suliman Dawood

arxiv:1008.3948 v1 · 2010-08-24 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLGLFM77VKZ5VILXLWUZE7JU2X}

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	2026-05-18T04:41:54.458517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6accb2b3ffaab3daa1775da9927d34d5fc16ef5f5e277db288d19b8196fe5770

Aliases

arxiv: 1008.3948 · arxiv_version: 1008.3948v1 · doi: 10.48550/arxiv.1008.3948 · pith_short_12: NLGLFM77VKZ5 · pith_short_16: NLGLFM77VKZ5VILX · pith_short_8: NLGLFM77

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/NLGLFM77VKZ5VILXLWUZE7JU2X \
  | 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: 6accb2b3ffaab3daa1775da9927d34d5fc16ef5f5e277db288d19b8196fe5770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16cf603eb5238620906c1c6676c84d2b7ed70569ad29255281380541aca0c2b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-08-24T01:23:46Z",
    "title_canon_sha256": "cb420ce731eb03cd39dfa4580d052f73badfec393dafde98f103a3137d4fe2b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3948",
    "kind": "arxiv",
    "version": 1
  }
}