Pith Number

pith:MLB4UDPX

pith:2012:MLB4UDPXHD6ZRAH6DQDWPGG75I

not attested not anchored not stored refs pending

Mod 3 Congruence and Twisted Signature of 24 Dimensional String Manifolds

Fei Han, Qingtao Chen

arxiv:1211.6949 v2 · 2012-11-29 · math.DG · 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{MLB4UDPXHD6ZRAH6DQDWPGG75I}

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	2026-05-18T02:48:02.480025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62c3ca0df738fd9880fe1c076798dfea2ae2f076c23afaa400aa3faea03bbe7a

Aliases

arxiv: 1211.6949 · arxiv_version: 1211.6949v2 · doi: 10.48550/arxiv.1211.6949 · pith_short_12: MLB4UDPXHD6Z · pith_short_16: MLB4UDPXHD6ZRAH6 · pith_short_8: MLB4UDPX

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/MLB4UDPXHD6ZRAH6DQDWPGG75I \
  | 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: 62c3ca0df738fd9880fe1c076798dfea2ae2f076c23afaa400aa3faea03bbe7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11de5e7c146bf5f640c250bbf7c419948049257dec1a39fe5edad861b7b73273",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-29T15:24:20Z",
    "title_canon_sha256": "e1ebed937d2e79ad79e0607b26eb4b1e578c26b7d0b6420387c015becdb9f85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6949",
    "kind": "arxiv",
    "version": 2
  }
}