Pith Number

pith:B7KXALHX

pith:2011:B7KXALHXF3J6IJGB5DFOU3OP54

not attested not anchored not stored refs pending

n-Nilpotent Obstructions to pi_1 Sections of P^1-{0,1,infty} and Massey Products

Kirsten Wickelgren

arxiv:1107.1790 v1 · 2011-07-09 · math.AT · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7KXALHXF3J6IJGB5DFOU3OP54}

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	2026-05-18T04:18:34.141996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd5702cf72ed3e424c1e8caea6dcfef07653e285f874fa2ffd44e4f3243b3eb

Aliases

arxiv: 1107.1790 · arxiv_version: 1107.1790v1 · doi: 10.48550/arxiv.1107.1790 · pith_short_12: B7KXALHXF3J6 · pith_short_16: B7KXALHXF3J6IJGB · pith_short_8: B7KXALHX

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/B7KXALHXF3J6IJGB5DFOU3OP54 \
  | 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: 0fd5702cf72ed3e424c1e8caea6dcfef07653e285f874fa2ffd44e4f3243b3eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee5a57eeace247db4e2c53fb3491669c03dbdc94a69cf19cac422aa0104deb7",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-07-09T15:20:53Z",
    "title_canon_sha256": "ff82175e6d48f3309ccc0e4033b1c86d648a2df0022fa31f680cd5b886126ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1790",
    "kind": "arxiv",
    "version": 1
  }
}