Pith Number

pith:2F6TPC3K

pith:2013:2F6TPC3KBER64ZSXZXTJU55BHV

not attested not anchored not stored refs pending

Harmonic maps between 3-dimensional hyperbolic spaces

Vladimir Markovic

arxiv:1308.1710 v2 · 2013-08-07 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2F6TPC3KBER64ZSXZXTJU55BHV}

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	2026-05-18T02:48:02.830675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17d378b6a0923ee6657cde69a77a13d51adaac89470cc3bbaf39ab450c86fbe

Aliases

arxiv: 1308.1710 · arxiv_version: 1308.1710v2 · doi: 10.48550/arxiv.1308.1710 · pith_short_12: 2F6TPC3KBER6 · pith_short_16: 2F6TPC3KBER64ZSX · pith_short_8: 2F6TPC3K

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/2F6TPC3KBER64ZSXZXTJU55BHV \
  | 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: d17d378b6a0923ee6657cde69a77a13d51adaac89470cc3bbaf39ab450c86fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562208bedc2ee2fe8ad3ccf1d435bbaeaa99d6ed4f081ca21488b1ccd3eb6972",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-07T22:45:35Z",
    "title_canon_sha256": "83ac8a6e8333fce6bcfab5be95f2c8044a95bc6ad9c8e4c018e695118fd2943a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1710",
    "kind": "arxiv",
    "version": 2
  }
}