Pith Number

pith:TY7GAXCL

pith:2013:TY7GAXCLURCQB3TCL67OWFWYIZ

not attested not anchored not stored refs pending

Conditionally flat functors on spaces and groups

Emmanuel Dror Farjoun, Jerome Scherer

arxiv:1309.0686 v1 · 2013-09-03 · 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{TY7GAXCLURCQB3TCL67OWFWYIZ}

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	2026-05-18T03:14:18.339130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3e605c4ba44500ee625fbeeb16d8466f819228b05705d324ef344070545a67

Aliases

arxiv: 1309.0686 · arxiv_version: 1309.0686v1 · doi: 10.48550/arxiv.1309.0686 · pith_short_12: TY7GAXCLURCQ · pith_short_16: TY7GAXCLURCQB3TC · pith_short_8: TY7GAXCL

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/TY7GAXCLURCQB3TCL67OWFWYIZ \
  | 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: 9e3e605c4ba44500ee625fbeeb16d8466f819228b05705d324ef344070545a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3514a9b15edd0ec89315fb0f4ed6997cc7b41d835a47c5164e745fa820ad24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-09-03T14:11:23Z",
    "title_canon_sha256": "f29389c16c4d642982086f3022eafdf0f4d1b40535d7646392e3de64f0b84d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0686",
    "kind": "arxiv",
    "version": 1
  }
}