Pith Number

pith:7XF3SLGB

pith:2013:7XF3SLGB4R267H22EFIUYPIZGD

not attested not anchored not stored refs pending

An Extended Reich Fixed Point Theorem

Sriram Balasubramanian

arxiv:1301.4578 v9 · 2013-01-19 · math.FA · 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{7XF3SLGB4R267H22EFIUYPIZGD}

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	2026-05-18T02:39:01.414881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdcbb92cc1e475ef9f5a21514c3d1930f38eae772cf61a533d832a8b98e1b31d

Aliases

arxiv: 1301.4578 · arxiv_version: 1301.4578v9 · doi: 10.48550/arxiv.1301.4578 · pith_short_12: 7XF3SLGB4R26 · pith_short_16: 7XF3SLGB4R267H22 · pith_short_8: 7XF3SLGB

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/7XF3SLGB4R267H22EFIUYPIZGD \
  | 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: fdcbb92cc1e475ef9f5a21514c3d1930f38eae772cf61a533d832a8b98e1b31d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b61eee9eff0b84d502663f47ea70b997ab05de5424e5e9c292aec35b47ec850c",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-19T17:14:14Z",
    "title_canon_sha256": "66f3a3fef5648b30407715018da92ce38842cf3ca55047525ec2d2aa88b7efeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4578",
    "kind": "arxiv",
    "version": 9
  }
}