Pith Number

pith:DVLTM5OP

pith:2012:DVLTM5OP26RG4RCUB5E55PMZQZ

not attested not anchored not stored refs pending

Volumes of the sets of translation surfaces with small saddle connections in rank one affine submanifolds

Duc-Manh Nguyen

arxiv:1211.7314 v3 · 2012-11-30 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVLTM5OP26RG4RCUB5E55PMZQZ}

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	2026-05-18T00:42:08.109594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d573675cfd7a26e44540f49debd9986441ace9f1770f8fd65d04331d8695e9c

Aliases

arxiv: 1211.7314 · arxiv_version: 1211.7314v3 · doi: 10.48550/arxiv.1211.7314 · pith_short_12: DVLTM5OP26RG · pith_short_16: DVLTM5OP26RG4RCU · pith_short_8: DVLTM5OP

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/DVLTM5OP26RG4RCUB5E55PMZQZ \
  | 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: 1d573675cfd7a26e44540f49debd9986441ace9f1770f8fd65d04331d8695e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd27e9061462f6a69ad2d6462678dc332a34aeb0eeee916c9944010f61c1e41",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-30T17:06:02Z",
    "title_canon_sha256": "ba3d00759cfb7acf356a8105730a73250dca2db978612812314204c5baaf85aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7314",
    "kind": "arxiv",
    "version": 3
  }
}