Pith Number

pith:UTLIG4HJ

pith:2016:UTLIG4HJ4DJO6676YVJFY7ERD2

not attested not anchored not stored refs pending

Semi-homotopy and semi-fundamental groups

Ali Aytekin, Ayhan Erciyes, Tun\c{c}ar \c{S}ahan

arxiv:1603.01969 v1 · 2016-03-07 · math.AT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTLIG4HJ4DJO6676YVJFY7ERD2}

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	2026-05-18T01:16:19.999094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d68370e9e0d2ef7bfec5525c7c911ea75f20d4d34c95f8c6acdcfc3a1ee1f8

Aliases

arxiv: 1603.01969 · arxiv_version: 1603.01969v1 · doi: 10.48550/arxiv.1603.01969 · pith_short_12: UTLIG4HJ4DJO · pith_short_16: UTLIG4HJ4DJO6676 · pith_short_8: UTLIG4HJ

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/UTLIG4HJ4DJO6676YVJFY7ERD2 \
  | 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: a4d68370e9e0d2ef7bfec5525c7c911ea75f20d4d34c95f8c6acdcfc3a1ee1f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20902e69519a0ed542d0b141f344230d1239666609a2ff69e78c2797081e7118",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-03-07T08:10:57Z",
    "title_canon_sha256": "b0ede27f33e80c76a2e76c2e8d1719bd00827f756fee35614138417f94f4d26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01969",
    "kind": "arxiv",
    "version": 1
  }
}