Pith Number

pith:U4CCSPAE

pith:2021:U4CCSPAEB4VTFFFIQ7HWPU72GE

not attested not anchored not stored refs pending

Marx-Strohh\"{a}cker theorem for Multivalent Functions

Prachi Gupta, Sumit Nagpal, V. Ravichandran

arxiv:2103.11711 v1 · 2021-03-22 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4CCSPAEB4VTFFFIQ7HWPU72GE}

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	2026-07-05T02:25:03.105259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a704293c040f2b3294a887cf67d3fa3102a7056ba4ded63670ded1a1615d0b76

Aliases

arxiv: 2103.11711 · arxiv_version: 2103.11711v1 · doi: 10.48550/arxiv.2103.11711 · pith_short_12: U4CCSPAEB4VT · pith_short_16: U4CCSPAEB4VTFFFI · pith_short_8: U4CCSPAE

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/U4CCSPAEB4VTFFFIQ7HWPU72GE \
  | 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: a704293c040f2b3294a887cf67d3fa3102a7056ba4ded63670ded1a1615d0b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c6f4ded5be8af8541f403d61e9a49701c8b6d9113f9a0f3fdc9a91ffc098a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2021-03-22T10:30:36Z",
    "title_canon_sha256": "fdf050b0bca1934abedb6f823a4b29c44386869432ce61bcfd144b1667220fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.11711",
    "kind": "arxiv",
    "version": 1
  }
}